{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XZXPRG2HXMOB2F7W3ZZFHVRZNQ","short_pith_number":"pith:XZXPRG2H","canonical_record":{"source":{"id":"1002.1513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-02-08T02:26:55Z","cross_cats_sorted":[],"title_canon_sha256":"10907b70394570f9e5395c34aa66edc867ffecdc6105575ab0f191eb5799efa4","abstract_canon_sha256":"db6cc34247649fb2983ca05bb943cb24b34d1bf42b46ef866c11c15909e08602"},"schema_version":"1.0"},"canonical_sha256":"be6ef89b47bb1c1d17f6de7253d6396c2a8f97dc1d280fe838df5fb1ac618a66","source":{"kind":"arxiv","id":"1002.1513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1513","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1513v2","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1513","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"pith_short_12","alias_value":"XZXPRG2HXMOB","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XZXPRG2HXMOB2F7W","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XZXPRG2H","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XZXPRG2HXMOB2F7W3ZZFHVRZNQ","target":"record","payload":{"canonical_record":{"source":{"id":"1002.1513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-02-08T02:26:55Z","cross_cats_sorted":[],"title_canon_sha256":"10907b70394570f9e5395c34aa66edc867ffecdc6105575ab0f191eb5799efa4","abstract_canon_sha256":"db6cc34247649fb2983ca05bb943cb24b34d1bf42b46ef866c11c15909e08602"},"schema_version":"1.0"},"canonical_sha256":"be6ef89b47bb1c1d17f6de7253d6396c2a8f97dc1d280fe838df5fb1ac618a66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:11.471191Z","signature_b64":"GjMleOYsftDvlB7psacfkj3hx0q1va2oWBYW7cvqNi1kwegB57eEV14y8ynXeY1DkXk6CpDSl4r2cRAkRZ9gDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be6ef89b47bb1c1d17f6de7253d6396c2a8f97dc1d280fe838df5fb1ac618a66","last_reissued_at":"2026-05-18T02:09:11.470441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:11.470441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.1513","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B7gCgSAsRZGfKhW3zOkJ68pWTtY1X0Awh7qBgYlyMxOhqqTwvFjW97jEUtfFzIzanvagvB/t8KbP2+hEkhizCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:34:10.269143Z"},"content_sha256":"ffe010b98303d1c59a935dc424abf7d9b1d28e92c1801893f39ae1eab50edc3b","schema_version":"1.0","event_id":"sha256:ffe010b98303d1c59a935dc424abf7d9b1d28e92c1801893f39ae1eab50edc3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XZXPRG2HXMOB2F7W3ZZFHVRZNQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-point velocity average of turbulence: statistics and their implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Hori, H. Mouri","submitted_at":"2010-02-08T02:26:55Z","abstract_excerpt":"For turbulence, although the two-point velocity difference u(x+r)-u(x) at each scale r has been studied in detail, the velocity average [u(x+r)+u(x)]/2 has not thus far. Theoretically or experimentally, we find interesting features of the velocity average. It satisfies an exact scale-by-scale energy budget equation. The flatness factor varies with the scale r in a universal manner. These features are not consistent with the existing assumption that the velocity average is independent of r and represents energy-containing large-scale motions alone. We accordingly propose that it represents moti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1513","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/rv72Ol01F7gaB/lvuqQOq22RIV0rV8U47ctxyDduZ83jifAHiMl5ECbK4xBH1IOWvRTkNnOlD+NeGav47eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:34:10.269522Z"},"content_sha256":"56841268504f84a87ff54419a1982765799f4a99c7f3aa1f1e16df33c4ae5ccc","schema_version":"1.0","event_id":"sha256:56841268504f84a87ff54419a1982765799f4a99c7f3aa1f1e16df33c4ae5ccc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/bundle.json","state_url":"https://pith.science/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T04:34:10Z","links":{"resolver":"https://pith.science/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ","bundle":"https://pith.science/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/bundle.json","state":"https://pith.science/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZXPRG2HXMOB2F7W3ZZFHVRZNQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XZXPRG2HXMOB2F7W3ZZFHVRZNQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"db6cc34247649fb2983ca05bb943cb24b34d1bf42b46ef866c11c15909e08602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-02-08T02:26:55Z","title_canon_sha256":"10907b70394570f9e5395c34aa66edc867ffecdc6105575ab0f191eb5799efa4"},"schema_version":"1.0","source":{"id":"1002.1513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1513","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1513v2","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1513","created_at":"2026-05-18T02:09:11Z"},{"alias_kind":"pith_short_12","alias_value":"XZXPRG2HXMOB","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XZXPRG2HXMOB2F7W","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XZXPRG2H","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:56841268504f84a87ff54419a1982765799f4a99c7f3aa1f1e16df33c4ae5ccc","target":"graph","created_at":"2026-05-18T02:09:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For turbulence, although the two-point velocity difference u(x+r)-u(x) at each scale r has been studied in detail, the velocity average [u(x+r)+u(x)]/2 has not thus far. Theoretically or experimentally, we find interesting features of the velocity average. It satisfies an exact scale-by-scale energy budget equation. The flatness factor varies with the scale r in a universal manner. These features are not consistent with the existing assumption that the velocity average is independent of r and represents energy-containing large-scale motions alone. We accordingly propose that it represents moti","authors_text":"A. Hori, H. Mouri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-02-08T02:26:55Z","title":"Two-point velocity average of turbulence: statistics and their implications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1513","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ffe010b98303d1c59a935dc424abf7d9b1d28e92c1801893f39ae1eab50edc3b","target":"record","created_at":"2026-05-18T02:09:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"db6cc34247649fb2983ca05bb943cb24b34d1bf42b46ef866c11c15909e08602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-02-08T02:26:55Z","title_canon_sha256":"10907b70394570f9e5395c34aa66edc867ffecdc6105575ab0f191eb5799efa4"},"schema_version":"1.0","source":{"id":"1002.1513","kind":"arxiv","version":2}},"canonical_sha256":"be6ef89b47bb1c1d17f6de7253d6396c2a8f97dc1d280fe838df5fb1ac618a66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be6ef89b47bb1c1d17f6de7253d6396c2a8f97dc1d280fe838df5fb1ac618a66","first_computed_at":"2026-05-18T02:09:11.470441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:11.470441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GjMleOYsftDvlB7psacfkj3hx0q1va2oWBYW7cvqNi1kwegB57eEV14y8ynXeY1DkXk6CpDSl4r2cRAkRZ9gDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:11.471191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.1513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffe010b98303d1c59a935dc424abf7d9b1d28e92c1801893f39ae1eab50edc3b","sha256:56841268504f84a87ff54419a1982765799f4a99c7f3aa1f1e16df33c4ae5ccc"],"state_sha256":"59df9fc363156a63ab52537ebce86b68e289a8384cee7255ec927eb70de588b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DmoolCAqqvwVEAXDMidmFXsy1baXvfkOT7pgaZHZ5sVfNkSaY6XldDKmYg//cWyTpkhckZ8WPvkrIdCptrTlDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T04:34:10.271807Z","bundle_sha256":"b8dcae396987bfb42926399c27a96704f956ecd0aedc11cf437e088793bed99e"}}